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Finding the Fourth Proportional to 117,657.80, 176,529.90 and 47,544.20

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Solution

The fourth proportional to 117,657.80, 176,529.90 and 47,544.20 is: 71,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,657.80 : 176,529.90 = 47,544.20 : x
  2. Step 2: Convert to fraction form
    117,657.80/176,529.90 = 47,544.20/x
  3. Step 3: Cross multiply
    117,657.80x = 176,529.90 × 47,544.20
  4. Step 4: Simplify right side
    117,657.80x = 8,392,972,871.58
  5. Step 5: Solve for x
    x = 8,392,972,871.58/117,657.80
  6. Step 6: Final answer
    x = 71,333.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.